mikeylababakhanov mikeylababakhanov
  • 23-01-2022
  • Mathematics
contestada

Given a rhombus with a side a
length of 10 cm and one diagonal length of 12 cm, find
the length of the other diagonal as well as the area of the rhombus.

Respuesta :

Аноним Аноним
  • 23-01-2022

Answer:

  • The length of the other diagonal is 20 cm.

Step-by-step explanation:

We know that:

  • Side of Rhombus = 10 cm
  • Diagonal = 12 cm
  • The sides of a rhombus are equal.
  • Area of rhombus = 1/2(Product of the diagonals) = Base x height

To find the other diagonal, we must compare the two formulas of a rhombus.

  • 1/2(Product of the diagonals) = Base x height
  • => 1/2(12x) = 10 x 12
  • => 6x = 120
  • => x = 20

Hence, the length of the other diagonal is 20 cm.

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